K A study was conducted to determine the proportion of people who dream in black and white instead of color Among 325 people over the age of 55 67 dream in black and white and among 303 people under the age of 25 20 dream in black and white Use a 0 01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25 Complete parts a through c below Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25 What are the null and alternative hypotheses for the hypothesis test OA Ho P P2 H P P2 O D Ho P P2 H P P2 Identify the test statistic Z Round to two decimal places as needed Identify the P value P value Round to three decimal places as needed What is the conclusion based on the hypothesis test OB Ho P1 P2 H P P2 OE Ho P1 P2 H P P2 The P value is the significance level of a 0 01 so who dream in black and white is greater than the proportion for those under 25 b Test the claim by constructing an appropriate confidence interval The 98 confidence interval is P P 0 Round to three decimal places as needed the null hypothesis There is OC Ho P1 H P OF Ho P1 P2 P2 P2 H P P2 evidence to support the claim that the proportion of people over 55